Recursive bit-stream converter and a method for recursive bit-stream conversion

ABSTRACT

A Recursive bit-stream converter (Rebic) having digital low pass filter and multi-bit quantizer means in a feedback arrangement and means to serialize digital words obtain a non-integer Rebic factor via at least two quantizers that are successively operative to serialize their digital words to the output of the converter.

The invention relates to a recursive bit-stream converter for converting a multi-bit digital input signal to a single bit digital output signal, said converter comprising, in a feedback loop, means for low pass filtering said input signal and producing digital filtered words, quantizer means for quantizing said filtered words and means for applying the quantized filtered words through feedback means to the low pass filtering means and further comprising outside of said feedback loop means for parallel to series conversion of the quantized filtered words to produce the single bit digital output signal.

The invention further relates to a method for converting a multi-bit digital input signal to a single bit digital output signal in which said input signal is low pass filtered by low filter means to digital filtered words which are quantized by quantizer means and the fed back to the low pass filter means, in which method the quantized filtered words are converted by parallel to series conversion means to the single bit digital output signal

An example of such a recursive bit-stream converter is described in applicants' prior European patent application 01203770.1 (PHNL010676).

A recursive bit-stream converter (Rebic) is a generalized digital implementation of a conventional single-bit sigma-delta modulator in which a high precision multi-bit signal is converted into a 1-bit digital signal (bit-stream). The main purpose of the single-bit sigma-delta modulator is to reduce the number of bits without substantially reducing the signal to noise ratio. Whereas a single-bit sigma delta modulator comprises a loop filter that operates at the clock rate of the bit-stream and has a single bit quantizer for delivering the output signal at the same sample rate, Rebic is characterized by a quantizer that delivers digital words, each having a plurality of bits which may subsequently be serialized to obtain the single bit output signal. The number of bits contained in each such word is called the Rebic-factor q. The advantages of Rebic over conventional digital single-bit sigma delta modulation are: reduction of high speed circuitry, lower power consumption, less interference tones in the bit-stream and increased stability in high order configurations. All these properties are consequences of the multi-bit character of the signal in the inner modulation loop in spite of the 1-bit character of the output signal. The reason for higher stability is that the quantizer in the Rebic system has a multilevel nature. Therefore, the Rebic configuration is especially useful at higher values of the Rebic factor q. The higher the Rebic factor is i.e. the more levels are used in the quantizer, the more linear the behavior of the system is with the corresponding stability characteristics of a linear system.

There is however a penalty to be paid in using a Rebic configuration in stead of a sigma delta modulator: there is a slight deterioration of the signal to noise ratio that increases with the value of q. Consequently, in applications where a severe requirement on the signal-to-noise ratio exists, the recursive bit-stream converter is preferably used with substantially lower Rebic factor q. In this kind of applications the value of the Rebic factor is subject to a compromise: the higher the Rebic factor is, the more linear its behavior is, with lesser intermodulation and (in audio applications) lesser interference tones. On the other hand: the lower the Rebic factor is, the better the signal-to-noise ratio of the converter is.

However, because the Rebic factor q is the number of levels of the quantizer, this factor can only have integer values. A problem with the use of the Rebic configuration with a low q-factor is that the steps between two consecutive values of the Rebic factor become relatively large. Therefore it is inter alia an object of the present invention to provide a recursive bit-stream converter with a non-integer effective q-factor and the recursive bit-stream converter of the present invention is therefore characterized in that the quantizer means comprise at least two quantizers of different bits whose output words are successively parallel to series converted to produce the output signal and synchronously therewith successively applied to said feedback means.

In this connection it has to be noted that the expression “successively” does not only mean that in the output signal of the converter each serialized word of one of the quantizers is necessarily directly followed by a serialized word of another of the quantizers. It also includes that more than one serialized words originate from one quantizer before another quantizer becomes operative. It even includes that the respective quantizers are operated in a random sequence.

Because it is the object of the invention to provide a converter with a non-integer effective Rebic factor, the required circuitry is most simple if the converter is characterized in that the quantizer means comprise two quantizers and that the bit-number of one of these quantizers is one unity higher than the bit-number of the other of these quantizers. More particularly the invention may be characterized in that the recursive bit-stream converter is intended for use in coders for producing Super Audio CD signals and that the quantizer means comprise a 2-bit quantizer and a 3-bit quantizer, which are alternately operative in producing one serialized word in the output signal of the converter. The Rebic configuration is of interest for application in coders for Super Audio CD, because of its low amount of interference tones. There is in this application however a severe requirement for signal-to-noise, so that only a very minor sacrifice in signal-to-noise ratio as compared to conventional single-bit sigma delta modulation is allowed. It is found that a Rebic factor q=2 can fulfill the specification but that a factor q=3 shows a too low signal to noise ratio. Because of the relative big step between q=2 and q=3, a factor in between is of interest. When a 2-bit quantizer and a 3-bit quantizer alternate in delivering their bits to the output of the converter, a suitable Rebic factor q=2,5 is obtained. In case a still higher signal to noise ratio is preferred an effective factor q=1,5 may be chosen. In that case a 1-bit quantizer and a 2-bit quantizer should alternately operate to furnish the output bits.

A method described in the second paragraph according to the invention is characterized in that the quantizer means comprise at least two quantizers (Q₂, Q₃) of different bits whose output words are successively parallel to series converted by the parallel to series conversion means (P₂, P₃) to the output signal (O) and synchronously therewith successively fed back to the low pass filter means.

An advantage of the method according to the invention is that is possible to obtain a non-integer Rebic factor, thereby achieving an optimal trade-off between linearity, and thus stability, and signal to noise ratio.

The invention will be described with reference to the accompanying figures. Herein shows:

FIG. 1 a first embodiment of a recursive bit-stream converter in accordance with the invention,

FIG. 2 graphs for clarifying the operation of the recursive bit-stream converter of FIG. 1,

FIG. 3 a second embodiment of a recursive bit-stream converter in accordance with the invention and

FIG. 4 graphs for clarifying the operation of the recursive bit-stream converter of FIG. 3.

The recursive bit-stream converter of FIG. 1 comprises a digital low pass filter F. This filter receives at an input terminal I a multi-bit (e.g. 16 bit) high precision digital signal of sample rate f_(s)/q. This digital low pass filter may be similar to the low pass filter described and shown in applicant's European patent application 01203770.1 (PHNL010676) FIG. 2, which is incorporated herein by reference. The output words of the low pass filter F are applied to a 2-bit quantizer (mapper) Q₂ and to a 3-bit quantizer (mapper) Q₃. The two output bits of the quantizer Q₂ are applied to an adder B₀, through two multipliers M₁ and M₂ to an adder B₁ and, through two further multipliers M₃ and M₄ to an adder B2. Similarly the three output bits of the quantizer Q₃ are applied to an adder B₄, through three multipliers M₅, M₆ and M₇ to an adder B₄ and through three further multipliers M₈, M₉ and M₁₀ to an adder B₅.

The arrangement of FIG. 1 further comprises a switch S having three sections S_(a), S_(b) and S_(c) that are switched synchronously. The switch section S_(a) alternately connects the outputs of the adders B₀ and B₃ to a feedback input I_(a) of the filter F. The switch section S_(b) alternately connects the outputs of the adders B₁ and B₄ to a feedback input I_(b) and the switch section S_(c) alternately connects the output of the adders B₂ and B₅ to a feedback input I_(c) of the filter F. The three feedback signals are denoted by references A_(0j), A_(1j) and A_(2j) respectively.

When the switch S is in the position as shown in FIG. 1, the 3-bit output of the quantizer Q₃ is fed back through the multipliers M₅-M₁₀ and the adders B₃, B₄, B₅ to the feedback inputs I_(a), I_(b) and I_(c) of the filter F. The filter F, the quantizer Q₃ and the three feedback paths constitute a third order Rebic converter with Rebic factor q=3 of which only the output bits of the quantizer still have to be serialized. This is described in the abovementioned patent application wherein the feedback signals A_(0j), A_(1j) and A_(2j) have the same meaning. In FIG. 1 the third order Rebic configuration is merely chosen for convenience of illustration. In practice a much higher order of e.g. 7 may be chosen to obtain a better noise shaping with a correspondingly higher signal to noise ratio.

When the position of the switch S is changed, the 2-bit output of the quantizer Q₂ is fed back through the multipliers M₁ to M₄ and the adders B₀ to B₂ to the three feedback inputs of the filter F. The filter F, the quantizer Q₂ and the three feedback paths now constitute a third order Rebic with q=2. The two output bits of the quantizer Q₂ are applied to a parallel-series converter P₂ and the three output bits of the quantizer Q₃ are applied to a parallel-series converter P₃. An adder A combines the output bits of the two parallel-series converters. Clock pulses of clock-frequency f_(s) are applied through a switch R to the two parallel-series converters. The clock pulses f_(s) and the pulses for the switches R and S are derived from a pulse-generator (not shown), which is synchronized with the sample rate f_(s)/q of the input signal. The time relationship between the pulses and signals is illustrated in FIG. 2.

In this figure the upper row 2 _(a) represents a series of clock pulses at the rate f_(s) that are applied to the switch R and the second row 2 _(b) represents a series of clock pulses at the rate f_(s)/q that are used to digitize the input signal. It may be apparent that 5 periods of the clock pulses of row 2 _(a) correspond with 2 periods of the clock pulses of row 2 _(b) and that consequently q=2,5. The row 2 _(c) shows the 3-bit words generated by the quantizer Q₃. These words are generated at the same rate f_(s)/q as the rate of the input signal and of the filter F. As will be shown afterwards, only half of these output words will be used to build the output signal. The unused output words of the quantizer Q₃ are drawn by dotted lines. These words are generated by Q₃ when its output is disconnected from the feedback paths to the low pass filter F.

The row 2 _(d) shows the 2-bit words from quantizer Q₂, which also have the rate f_(s)/q. Again the dotted lines represent the unused words, i.e. the words generated by quantizer Q₂ when the quantizer output is disconnected from the feedback paths to the filter F. Both the used and the unused output words of Q₃ are stored in the 3-bit parallel-series converter P₃. The used words are then clocked out at the rate f_(s) to the adder A. Similarly the used and unused output words of the quantizer Q₂ are stored in the 2-bit parallel-series converter and only the used words are clocked out at the rate f_(s) to the adder A.

Row 2 _(f) of FIG. 2 shows the switching signal controlling the switch S. When this signal is high, the output words of Q₃ are used to build the feedback for the filter F and when this signal is low the output words of Q₂ are used for this purpose. Row 2 _(g) shows the signal that controls the switch R. When this signal is high three clock pulses of rate f_(s) are applied to the 3-bit parallel-series converter P₃ to shift its content to the output O and when this signal is low two clock pulses are applied to the 2-bit parallel-series converter P₂ to shift its content to the output. Therefore, the used output words of the quantizers Q₂ and Q₃ are alternately serialized and applied to the output O of the converter at the rate f_(s). The row 2 _(e) shows the bits at the output O of the converter while it is also indicated from which words the bits are derived. It is seen from this row that that the bit rate at the output O is equal to f_(s) and that alternately three bits originate from the quantizer Q₃ and two bits from the quantizer Q₂. Therewith the effective Rebic factor q of the converter is 2,5.

Other-bit quantizers may obtain other non-integer Rebic factors. Preferably, when the required q-factor is between the integers n and n+1, an n-bit quantizer and an n+1-bit quantizer are used because then the circuitry is simplest. It is not necessary that the bits in the output sequence originate alternately from the two quantizers. For instance, in case an effective Rebic factor q=2⅓ is required, one serialized output-word of a 3 bit quantizer may be followed by two serialized output-words of a 2-bit quantizer. This can be implemented by the arrangement as shown in FIG. 1 while only the switching signals for the switches R and S need to be modified. Instead of a fixed sequence of the switching of the output words of the quantizers, a random sequence may also fulfill the job.

The recursive bit-stream converter of FIG. 3 has a number of parts that are similar to those of FIG. 1 and these parts have the same reference numerals as in FIG. 1. In some cases it is desired that the sample rate of the output signal is equal to the sample rate of the input signal. Therefore an important difference with the converter of FIG. 1 is that the input signal of the converter of FIG. 3 has a sample rate f_(s), i.e. a sample rate that is by the Rebic factor q higher than the input sample rate in the converter of FIG. 1. Consequently, all the parts of the converter of FIG. 3 have to be able to operate at this higher sample rate.

Instead of the two-position switches S_(a), S_(b), S_(c) of FIG. 1 the converter of FIG. 3 has five-position switches V_(a), V_(b) and V_(c). At the position 1 these switches respectively connect the outputs of the adders B₀, B₁ and B₂ to the feedback-inputs I_(a), I_(b) and I_(c) of the filter F. At the position 4 the three switches connect the outputs of the adders B₃, B₄ and B₅ to the respective feedback-inputs. The positions 2, 3 and 5 of these switches are idle.

The parallel-series conversion of the quantizer-output words is performed for the quantizer Q₂ by single-bit shift registers X₁ and X₂ and for the quantizer Q₃ by single-bit shift registers Y₁, Y₂ and Y₃. A second five-position switch W connects respectively the outputs of the shift registers X₁, X₂, Y₁, Y₂ and Y₃ to the output O of the converter. The two five-position switches V and W switch synchronously at the rate f_(s), be it with a phase shift so that when switch V is in the position 1 switch W is in the position 4.

The operation of the converter of FIG. 3 is clarified in FIG. 4. The first row of this figure shows a sequence of the clock pulses at the rate f_(s) on which the entire converter of FIG. 3 operates. The vertical stripes in row 4 b represent the 3-bit output words of the quantizer Q₃ and the vertical stripes of row 4 c represent the 2-bit output words of quantizer Q₂. The dotted stripes thereof are the output words of Q₂ and Q₃ that are not used for the production of the output signal. Row 4 d represents the output bits at the output O of the converter. It is also indicated in FIG. 4 from which of the words shown in rows 4 b and 4 c the bits of the output signal are derived. Row 4 e shows the sequence of the positions of the five-position switch V and row 4 f shows the sequence of the positions of the five-position switch W.

In position 1 of the switch V the two output bits of the quantizer Q₂ are stored in the two shift-register locations X₁a and X₂a Simultaneously the 3^(rd) bit of quantizer Q₃ is shifted from shift-register location Y₃b to location Y₃c and, because the switch W is in position 4, the 2^(nd) bit of quantizer Q₃ is read out from shift-register location Y₂b to the output O.

In position 2 of the switch V the two Q₂-bits in shift-register locations X₁a and X₂a are shifted to locations X₁b and X₂b respectively. Simultaneously, because the switch W is in the position 5, the 3^(rd) bit from quantizer Q₃ is read out from shift-register location Y₃c tp the output O.

In position 3 of the switch V (=position 1 of the switch W) the 1^(st) bit from Q₂ is read out from shift-register location X₁b to the output O and the 2^(nd) bit from Q₂ is shifted from location X₂b to X₂c.

In position 4 of the switch V (=position 2 of switch W) the three output bits of quantizer Q₃ are stored in the three shift-register locations Y₁a, Y₂a and Y₃a respectively. Simultaneously the 2^(nd) Q₂-bit is read out from shift-register location X₂c to the output.

And finally in position 5 of the switch V (=position 3 of switch W) the 1^(st) Q₃-bit in location Y₁a is read out to the output O and the 2^(nd) and 3^(rd) Q₃-bits are shifted from locations Y₂a and Y₃a to locations Y₂b and Y₃b respectively. Thereafter the cyclic sequence is repeated. 

1. A recursive bit-stream converter for converting a multi-bit digital input signal to a single bit digital output signal, said converter comprising, in a feedback loop, means (F) for low pass filtering said input signal and producing digital filtered words, quantizer means for quantizing said filtered words and means for applying the quantized filtered words through feedback means (M₁–M₁₀, B₀–B₅) to the low pass filtering means (F) and further comprising outside of said feedback loop means for parallel to series conversion of the quantized filtered words to produce the single bit digital output signal, characterized in that the quantizer means comprise at least two quantizers (Q₂, Q₃) of different bits whose output words are successively parallel to series converted (P₂, P₃) to produce the output signal (O) and synchronously therewith successively applied to said feedback means.
 2. A recursive bit-stream converter as claimed in claim 1 characterized in that the quantizer means comprise two quantizers (Q₂, Q₃) and that the bit-number of one of these quantizers is one unity higher than the bit-number of the other of these quantizers.
 3. A recursive bit-stream converter as claimed in claim 2 characterized in that the converter is intended for use in coders for producing Super Audio CD signals and that the quantizer means (Q₂, Q₃) comprise a 2-bit quantizer and a 3-bit quantizer, which are alternately operative in producing one serialized word in the output signal (O) of the converter.
 4. A method for converting a multi-bit digital input signal to a single bit digital output signal in which said input signal is low pass filtered by low filter means (F) to digital filtered words which are quantized by quantizer means and the fed back by feed back means (M₁–M₁₀, B₀–B₅) to the low pass filter means, in which method further the quantized filtered words are converted by parallel to series conversion means to the single bit digital output signal, characterized in that the quantizer means comprise at least two quantizers (Q₂, Q₃) of different bits whose output words are successively parallel to series converted by the parallel to series conversion means (P₂, P₃) to the output signal (O) and synchronously therewith successively fed back to the low pass filter means. 